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Finding the Fourth Proportional to 577.84, 798.24 and 511.96

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Solution

The fourth proportional to 577.84, 798.24 and 511.96 is: 707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.84 : 798.24 = 511.96 : x
  2. Step 2: Convert to fraction form
    577.84/798.24 = 511.96/x
  3. Step 3: Cross multiply
    577.84x = 798.24 × 511.96
  4. Step 4: Simplify right side
    577.84x = 408,666.95
  5. Step 5: Solve for x
    x = 408,666.95/577.84
  6. Step 6: Final answer
    x = 707.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.